Their exit comes as part of a new global creative strategy unifying all Calvin Klein brands under one creative vision, said The Hollywood Reporter.
"This creative strategy marks the beginning of another significant chapter in Calvin Klein's brand legacy since Mr Klein's retirement.
"I would like to thank Francisco and Italo for their unwavering commitment to the Calvin Klein brand and their accomplishments over the past decade. They have both contributed immensely to making Calvin Klein a global leader in the fashion industry, and they have done so with dedication, focus and creativity," CEO Steve Shiffman said in a statement.
Costa, whose designs have been sported by the likes of Lupita Nyong'o, Zoe Saldana and Emma Stone, joined Calvin Klein in 2003 and was promoted to creative director a year later.
The company is yet to announce its next leader, but stated, "An announcement will be made in due course."
However, industry insiders are speculating that Raf Simons, who left Dior in October 2015, is rumored to take the top post.
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